Journal ArticleDOI
Random-Field Instability of the Ordered State of Continuous Symmetry
Yoseph Imry,Shang-keng Ma +1 more
TLDR
In this article, it was shown that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions and the borderline dimensionality above which mean-field-theory results hold is six.Abstract:
Phase transitions are considered in systems where the field conjugate to the order parameter is static and random. It is demonstrated that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions. The borderline dimensionality above which mean-field-theory results hold is six. (auth)read more
Citations
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Journal ArticleDOI
Random Impurity Effects in Systems with Frustrating Interactions
TL;DR: In this article, it is argued that impurities in a system with frustrating interactions play a similar role as random fields in a usual ferromagnetic system and destroy a periodic spin structure of the system.
Journal ArticleDOI
De-pinning of disordered bosonic chains
TL;DR: In this paper, the authors studied the interplay of three length scales: the system length, the interaction range, the correlation length of disorder, and the crossover between the solitonic onset of transport in arrays shorter than the disorder correlation length.
Journal ArticleDOI
Monte Carlo study of the metamagnet Ising model in a random and uniform field
TL;DR: In this article, Monte Carlo simulation has been used to determine the phase diagram of a spin-1/2 metamagnet Ising model in the presence of a random and uniform magnetic field.
Journal ArticleDOI
Order Parameter Description of the Anderson-Mott Transition
TL;DR: In this article, an order parameter description of the Anderson-Mott transition (AMT) is given, and the mean-field critical exponents are exact above the upper critical dimension.
Journal ArticleDOI
Spin-reorientation phase transitions in thin films of RETM amorphous alloys
TL;DR: In this paper, the authors developed a description of phase transitions induced by a magnetic field and obtained the H-T diagrams corresponding to these transitions, where the presence of new stochastic phases (asperomagnetic) was found.
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